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Finding the Fourth Proportional to 194.37, 292.21 and 170.47

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Solution

The fourth proportional to 194.37, 292.21 and 170.47 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.37 : 292.21 = 170.47 : x
  2. Step 2: Convert to fraction form
    194.37/292.21 = 170.47/x
  3. Step 3: Cross multiply
    194.37x = 292.21 × 170.47
  4. Step 4: Simplify right side
    194.37x = 49,812.98
  5. Step 5: Solve for x
    x = 49,812.98/194.37
  6. Step 6: Final answer
    x = 256.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.